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Unformatted text preview: CHEE 3363---Fluid Mechanics HW 4 Solutions Pro 4.12 Given: Control volume with linear velocity distribution across surface as shown; width = ? . Find: (a) Volume flow rate (b) Momentum flux, through surface Solutions: The volume flow rate is = ? At surface ? = ? ? = ? Thus = ? ? ( ? ) ? =0 = ? ?? = ? ? 2 2 = 1 2 ? The momentum flux is given by . . = ? ( ? ) Thus . . = ? ? ? ?? = ? 2 2 ? 2 ? = ? 2 2 ? 3 3 . . = 1 3 ? 2 Pro 4.15 Given: Velocity distribution for laminar flow in a long circular tube ? = ?? = ? 1 2 ? where is the tube radius Evaluate: (a) The volume flow rate (b) The momentum flux through a section normal to the pipe axis Solution: The volume flow rate is given by...
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